Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems

被引：11

作者：

Liu, Qing-You ^{[2
]}

Long, Xian-Jun ^{[3
]}

Huang, Nan-jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610064, Sichuan, Peoples R China

[3] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

来源：

MATHEMATICA SLOVACA | 2012年 / 62卷 / 01期

基金：

中国国家自然科学基金;

关键词：

generalized vector equilibrium problem; weak efficient solution; scalarization; existence; connectedness; VARIATIONAL INEQUALITY; SCALARIZATION; EXISTENCE;

D O I：

10.2478/s12175-011-0077-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a generalized vector equilibrium problem is introduced and studied. A scalar characterization of weak efficient solutions for the generalized vector equilibrium problem is obtained. By using the scalarization result, the existence of the weak efficient solutions and the connectedness of the set of weak efficient solutions for the generalized vector equilibrium problem are proved in locally convex spaces.

引用

页码：123 / 136

页数：14

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